Home
Class 12
MATHS
There are n students in a class. Ler P(E...

There are n students in a class. Ler `P(E_lambda)` be the probability that exactly `lambda` out of n pass the examination. If `P(E_lambda)` is directly proportional to `lambda^2(0lelambdalen)`.
Proportional constant k is equal to

A

`(1)/(sumn)`

B

`(1)/(sumn^2)`

C

`(1)/(sumn^3)`

D

`(1)/(sumn^4)`

Text Solution

Verified by Experts

The correct Answer is:
(b)
Promotional Banner

Similar Questions

Explore conceptually related problems

There are n students in a class. Ler P(E_lambda) be the probability that exactly lambda out of n pass the examination. If P(E_lambda) is directly proportional to lambda^2(0lelambdalen) . If a selected student has been found to pass the examination, then the probability that he is the only student to have passed the examination, is

A box contains n coins, Let P(E_(i)) be the probability that exactly i out of n coins are biased. If P(E_(i)) is directly proportional to i(i+1),1 leilen . Q. Proportionality constant k is equal to

A box contains n coins, Let P(E_(i)) be the probability that exactly i out of n coins are biased. If P(E_(i)) is directly proportional to i(i+1),1 leilen . Q. If P be the probabiloity that a coin selected at random is biased, then lim_(xto oo) P is

A photon and an electron have equal energy E . lambda_("photon")//lambda_("electron") is proportional to

Using the expression 2d sin theta = lambda , one calculates the values of d by measuring the corresponding angles theta in the range 0 to 90@ . The wavelength lambda is exactly known and error in theta is constant for all values of theta . As theta increases from 0@

Of the three independent events E_1, E_2 and E_3, the probability that only E_1 occurs is alpha, only E_2 occurs is beta and only E_3 occurs is gamma. Let the probability p that none of events E_1, E_2 and E_3 occurs satisfy the equations (alpha-2beta), p=alphabeta and (beta-3gamma) p=2beta gamma. All the given probabilities are assumed to lie in the interval (0,1). Then, (probability of occurrence of E_1) / (probability of occurrence of E_3) is equal to

The wavelength lambda_(e) of an electron and lambda_(P) of a photon of same energy E are related by:

Answer the following questions: (e) The energy and momentum of an electron are related to the frequency and wavelength of the associated matter wave by the relations: E=hv, p=(h)/(lambda) But while the value of lambda is physically significant, the value of ν (and therefore, the value of the phase speed νlambda ) has no physical significance. Why?

A prism of refractive index n_(1) & another prism of reactive index n_(2) are stuck together without a gap as shown in the figure.The angle of the prisms are as shown. n_(1)&n_(2) depend on lambda ,the wavelength of light according to n_(1)=1.20+(10.8xx10^(4))/(lambda^(2)) & n_(2)=1.45+(1.80xx10^(4))/(lambda^(2)) where lambda is in nm. (i)Calculate the wavelength lambda_(0) for which rays incident at any angle on the interface BC pass through without bending at that interface. (ii) for light of wavelength lambda_(0) ,find the angle of incidencei on face AC such that the deviation produced by the combination of prism is minimum.

Let N=alphaalphaalphaalphaalphaalpha be a 6 digit number (all digit repeated) and N is divisible by 924 and let alpha,beta the roots of the equation x^(2)-11x+lambda=0 , if product of all possible values of lambda is 168K then the value of K is